Finding the Fourth Proportional to 3,106.72, 4,662 and 1,160.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.72 : 4,662 = 1,160.32 : x
2. Step 2: Convert to fraction form
   3,106.72/4,662 = 1,160.32/x
3. Step 3: Cross multiply
   3,106.72x = 4,662 × 1,160.32
4. Step 4: Simplify right side
   3,106.72x = 5,409,411.84
5. Step 5: Solve for x
   x = 5,409,411.84/3,106.72
6. Step 6: Final answer
   x = 1,741.20